Squire's Castle at North Chagrin is a 5.2 mile loop trail located near Cleveland, Ohio that features beautiful wild flowers and is rated as moderate.
2.) Mill Creek Park
Mill Creek Park has at least fourteen good hiking trails that will make you think that you were not in Ohio. The topography in Mill Creek Park seems to come from another state out West. Mill Creek park covers 2,530 acres and includes 21 miles of scenic drives and 15 miles of foot trails, and a rare collection of gardens, streams, lakes, woodlands, meadows and wildlife for all to enjoy.
3.) Happy Days, Ledges and Pines
How can you not feel happy and relaxed with a trail named Happy Days, Ledges and Pines? Wind through the sanctuary of stone, trees and moss and enter a trail of enchantment. Happy Days trail offers three trails that are approximately 4.3 looped miles that are moderate to difficult.
4.) Prairie Oaks Trails
Prairie Oaks features nearly 500 acres of lush prairies and grasslands. In late summer and early fall, visitors can see fields of beautifully flowering ashy sunflower, royal catchfly and purple coneflower against a backdrop of big and little bluestem and Indian grasses.
Clear Creek Valley is one of the most pristine and secluded natural areas in Central Ohio. Variations of land surfaces, soils and climates have produced a medley of habitats that harbor more than 800 plant species and 150 species of birds, many of them rare. You may catch a glimpse of turkey, deer, ruffed grouse, coyote, black vultures or even see the traces of the elusive bobcat along the park's 12 miles of trails.
7.) Little Miami River Loop and Spur Trail
Little Miami River Loop and Spur Trail is a 9 mile loop trail located near Yellow Springs, Ohio and is rated as moderate. The trail is primarily used for hiking and is accessible from April until October.
8.) Deer Lick Cave Loop Trail
Deer Lick Cave Loop Trail - Brecksville Reservation is a 4 mile loop trail located near Brecksville, Ohio that features a river. The trail is rated as difficult and primarily used for hiking, trail running & walking.
9.) Mohican Trails
Mohican Trails include 13 miles of trails take you to the more interesting areas of the park and forest. Lyons Falls trail follows Clear Fork Gorge and features two waterfalls. The Hemlock trail leads to the scenic covered bridge, and Pleasant Hill trail follows the shoreline and offers beautiful views of the lake.
10.) Hocking Hills - Old Man's Cave
The most popular of all the Hocking areas is Old Man's Cave, located on State Route 664. Here at the Upper Falls, the Grandma Gatewood Trail begins its six-mile course connecting three of the park's areas: Old Man's Cave to Cedar Falls to Ash Cave. This same trail has been designated as part of Ohio's Buckeye Trail as well as part of two national systems - the North Country Scenic Trail and America's Discovery Trail.
So that about wraps it up. For more info on these locations I provided the links for my sources below.
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http://www.hockinghills.com/old_mans_cave.html
http://www.discovermohican.com/activities-mohican2.html
http://www.metroparks.net/parksprairieoaks.aspx
http://ohventures.blogspot.com/2011/08/10-great-ohio-hiking-spots.html?m=1
http://cleveland.cbslocal.com/top-lists/best-hiking-trails-in-cleveland/
http://hikingohioparks.com/south-chagrin-reservation-hiking-ohio-parks.html
http://alltrails.com/trail/us/ohio/nelsons-ledges-state-park